Exercises 20.6, page 563

  1. 1. y is the angle whose tangent is 3A.

  2. 3. 0

  3. 5. y is the angle whose tangent is 5x.

  4. 7. y is twice the angle whose sine is x.

  5. 9. y is five times the angle whose cosine is 2x − 1 . 

  6. 11. π3

  7. 13. π4

  8. 15.  − π3

  9. 17. No value

  10. 19.  − π4

  11. 21. 123

  12. 23. π4

  13. 25. 2626

  14. 27.  − 1

  15. 29.  − 1.2303

  16. 31. 0.0219

  17. 33.  − 1.2389

  18. 35.  − 0.2239

  19. 37. x = 13sin − 1 y

  20. 39. x = 4 tan y

  21. 41. x = 1 − cos(1 − y)

  22. 43. x1 − x2

  23. 45. x2 − 16x

  24. 47. 3x9x2 − 1

  25. 49. 2x1 − x2

  26. 51. No: sin − 1(sin x) = x for  − π2 ≤ x ≤ π2 . 

  27. 53. A = area of sector  − area of triangle

  28. 55. t = 1ω(sin − 1 iIm − α − ϕ)

  29. 57. sin(sin − 135 + sin − 1513) = 35 ⋅ 1213 + 45 ⋅ 513 = 5665

  30. 59.  − 210

  31. 61. xy + 1 − x2 − y2 + x2y2

  32. 63. π2

  33. 65. 0

  34. 67. sin − 1(ac)

  35. 69. tan − 1(btan Ba)

  36. 71. Let y = height to top of ...

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